In general, x^y is ^y*^.x,applying for
complex numbers as well as real.

For a non-negative integer y,the phrasex ^ y
is equivalent to */y # x;in particular, */ on
an empty list is 1,and x^0 is 1 for
any x,including 0 .

The fit conjunction applies to ^ to yield a stope defined
as follows: x^!.k n is */x + k*i. n .
In particular, ^!._1 is the falling factorial function.

The last result in the first example below illustrates the
falling factorial function, formed by the fit conjunction.
See Chapter 5 of [14]
for the use of stope functions, stope polynomials,
and Stirling numbers in the difference calculus:

S1 gives (signed) Stirling numbers of the first kind
and S2 gives Stirling numbers of the second kind.
They can be used to transform between ordinary and stope polynomials.
Note thatx:gives
extended precision.